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Finding the Fourth Proportional to 6,158.64, 9,238.83 and 1,997.25

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Solution

The fourth proportional to 6,158.64, 9,238.83 and 1,997.25 is: 2,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.64 : 9,238.83 = 1,997.25 : x
  2. Step 2: Convert to fraction form
    6,158.64/9,238.83 = 1,997.25/x
  3. Step 3: Cross multiply
    6,158.64x = 9,238.83 × 1,997.25
  4. Step 4: Simplify right side
    6,158.64x = 18,452,253.22
  5. Step 5: Solve for x
    x = 18,452,253.22/6,158.64
  6. Step 6: Final answer
    x = 2,996.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.